Using a common framework, we consider the two existing extensions of the leximax criterion to infinite environments [Arlegi, R., Besada, M., Nieto, J., Vázquez, C., 2005. Freedom of choice: the leximax criterion in the infinite case. Mathematical Social Sciences 49, 1–15; Ballester, M., De Miguel, J.R., 2003. Extending an order to the power set: the leximax criterion. Social Choice and Welfare ...

Gale [D. Gale, The game of HEX and the Brouwer fixed-point theorem, American Mathematical Monthly 86 (1979) 818–827] has shown that the so called HEX game theorem that any HEX game has one winner is equivalent to the Brouwer fixed point theorem. In this paper we will show that under some assumptions about marking rules of HEX games, the HEX game theorem for a 6 · 6 HEX game is equivalent to the...

The contents of this publication may be reproduced in part, except for commercial purposes, provided the extract is preceded by a reference to 'Eurydice network', followed by the date of publication of the document. FOREWORD The decade that we have now embarked upon presents enormous challenges for Europe. The Europe 2020 strategy for smart, sustainable and inclusive growth rightly recognises t...

Humans do not always make rational choices, a fact that experimental economics is putting on solid grounds. The social context plays an important role in determining our actions, and often we imitate friends or acquaintances without any strategic consideration. We explore here the interplay between strategic and social imitative behavior in a coordination problem on a social network. We observe...

This paper provides an analysis of aggregate behavioural outcomes when individual utility exhibits social interaction effects. We study generalized logistic models of individual choice which incorporate terms reflecting the desire of individuals to conform to the behaviour of others in an environment of noncooperative decisionmaking. Laws of large numbers are generated in such environments. Mul...

This is a chapter for the forthcoming Handbook of Rational and Social Choice, Paul Anand, Prasanta Pattanaik, and Clemens Puppe, eds., Oxford University Press, 2008. We review classic normative expected utility theory. Our goal is to frame the subsequent chapters (which consider more modern extensions to and deviations from this classic theory) in a way that is accessible to the nonspecialist b...

For centuries, the mathematical aggregation of preferences by groups, organizations, or society itself has received keen interdisciplinary attention. Extensive theoretical work in economics and political science throughout the second half of the 20th century has highlighted the idea that competing notions of rational social choice intrinsically contradict each other. This has led some researche...